Question

premises: if a parallelogram has a right - angle, then it is a rectangle. parallelogram pqrs has a right angle. conclusion: parallelogram pqrs is a rectangle. the argument is valid by the law of detachment the argument is not valid because the conclusion does not follow the premises the argument is valid by the law of syllogism the argument is not valid

Explanation:

The law of detachment states that if a conditional statement "if p then q" is true and p is true, then q is true. Here, the conditional is "If a parallelogram has a right - angle, then it is a rectangle" (if p then q) and "Parallelogram PQRS has a right - angle" (p is true), so the conclusion "Parallelogram PQRS is a rectangle" (q) follows.

Answer:

The argument is valid by the law of detachment